Greatest Common Factor of 2140/25, 1270/542

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2140/25, 1270/542

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 2140/25,1270/542

Given fractions are 2140/25,1270/542

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 2140,1270

Greatest Common Factor of Numerators i.e. GCF of 2140,1270 is 10 .

LCM of Denominators means LCM of 25,542 as per the given fractions.

LCM of 25,542 is 13550 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2140,1270

GCF of Fractions 2140/25,1270/542 is 10/13550

2 2140, 1270
5 1070, 635
214, 127

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 2140,1270 By Matching Biggest Common Factor Method

Greatest Common Factor of 2140,1270 By Matching Biggest Common Factor Method

Factors of 2140

List of positive integer factors of 2140 that divides 2140 without a remainder.

1,2,4,5,10,20,107,214,428,535,1070,2140

Factors of 1270

List of positive integer factors of 1270 that divides 1270 without a remainder.

1,2,5,10,127,254,635,1270

Greatest Common Factor

We found the factors 2140,1270 . The biggest common factor number is the GCF number.
So the greatest common factor 2140,1270 is 10.

Lets's calculate LCM of 25,542

Given numbers has no common factors except 1. So, there LCM is their product i.e 13550

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/13550

Therefore, the GCF of Fractions 2140/25,1270/542 is 10/13550

Least Common Multiple of 25,542 with GCF Formula

Least Common Multiple of 25,542 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 25,542 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,542) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(25,542) x common factors =1 x 1 = 1

LCM(25,542) = ( 25 × 542 ) / 1

LCM(25,542) = 13550 / 1

LCM(25,542) = 13550


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 2140/25, 1270/542

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 2140/25, 1270/542?

Answer: GCF of Numerators as per given numbers 2140/25, 1270/542 is

GCF of Numerators i.e. for 2140,1270 is 10

LCM of denominators i.e. for 25,542 is 13550.

Thus, GCF of Fractions is 10/13550.Finally, GCF of Fractions for 2140/25, 1270/542 is 10/13550.